Respuesta :

Sz3252

Answer:

Y intercept = (0,4)

X intercept = (6,0)

Step-by-step explanation:

  • First you need to make the equation slope intercept form.

2x+3y=12

To do so, you need to get y on it's own (or on one side)

  • Subtract 3y from the left side.

-3y+12=2x

  • Then, divide everything out by -3

y-4=-2/3x

  • Add four to the other side

y= -2/3x +4

-2/3x= slope while 4= y intercept

You can also graph it on desmos and find the y intercept and x intercept

facundo3141592

We want to find the x and y-intercepts of a given equation.

The solution is:

  • The x-intercept is x = 6
  • The y-intercept is y = 4

First, we start by defining what x-intercept and y-intercept are.

The x-intercept is the x-value at which the graph of the equation intercepts the x-axis, and is equivalent for the y-intercept.

So, for a given function y = f(x).

We define the y-intercept as the value of y when we define x = 0.

And we define the x-intercept as the value (or values) of x when y = 0.

Here we have:

2x + 3y = 12

So to get the x-intercept, we just need to define y = 0 and solve for x.

2x + 3*0 = 12

2x = 12

x = 12/2 = 6

To get the y-intercept, we just need to define x = 0 and solve for y.

2*0 + 3*y = 12

3*y = 12

y = 12/3 = 4

Then we can conclude:

  • The x-intercept is x = 6
  • The y-intercept is y = 4

If you want to learn more, you can read:

https://brainly.com/question/25192415

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